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Finding the Third Proportional to 191,212 and 394,704

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Solution

The third proportional to 191,212 and 394,704 is: 814,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,212 : 394,704 = 394,704 : x
  2. Step 2: Convert to fraction form
    191,212/394,704 = 394,704/x
  3. Step 3: Cross multiply
    191,212x = 394,704 × 394,704
  4. Step 4: Simplify right side
    191,212x = 155,791,247,616
  5. Step 5: Solve for x
    x = 155,791,247,616/191,212
  6. Step 6: Final answer
    x = 814,756.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.